Can you use the rule as follows A+AB'=A?

 

Yes, you can.

 

You can even use A+AB=A if you're careful.

 

Hello,

Have a look at this page of the eBook:
http://www.allaboutcircuits.com/textbook/digital/chpt-7/boolean-rules-for-simplification/

Bertus

 

You can even use A+AB=A if you're careful.

Hehehe what do you mean?

 

Hello,

Have a look at this page of the eBook:
http://www.allaboutcircuits.com/textbook/digital/chpt-7/boolean-rules-for-simplification/

Bertus

Thanks I've gone through it couple of time but it doesn't cover some of these "awkward" derivatives of the rules.

 

so does B'+AB= B ? it shouldn't right?

if B'=1
1+A(0)=1

if B'=0
0+A(1)=A

 

Hello,

It only works in the case : A + AB

You are right, in your shown case B and B' are not the same so it does not work.

Bertus

 

Hello,

It only works in the case : A + AB

You are right, in your shown case B and B' are not the same so it does not work.

Bertus

but A+AB'=A works (does B') have any effect

 

Hello,

Yes, as (1 + B) give a 1 as result, but (1 + B') also gives a 1 as result.
A 1 orred with any value will give a 1 as result.

Bertus